On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators
From MaRDI portal
Publication:1686649
DOI10.1016/j.physd.2017.02.002zbMath1376.34042arXiv1604.02417OpenAlexW2337470049MaRDI QIDQ1686649
Sergey V. Gonchenko, A. S. Gonchenko, Dmitry V. Turaev, Alexey O. Kazakov
Publication date: 15 December 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02417
Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items
On \(1:3\) resonance under reversible perturbations of conservative cubic Hénon maps ⋮ Conservative, dissipative and super-diffusive behavior of a particle propelled in a regular flow ⋮ Constructing chaotic repellors ⋮ On three types of dynamics and the notion of attractor ⋮ Three types of attractors and mixed dynamics of nonholonomic models of rigid body motion ⋮ Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid ⋮ On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles ⋮ Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors ⋮ Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller ⋮ The third type of chaos in a system of two adaptively coupled phase oscillators ⋮ Reversible perturbations of conservative Hénon-like maps ⋮ On the intersection of a chaotic attractor and a chaotic repeller in the system of two adaptively coupled phase oscillators ⋮ Topaj-Pikovsky involution in the Hamiltonian lattice of locally coupled oscillators ⋮ Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics ⋮ Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators ⋮ Normal forms and averaging in an acceleration problem in nonholonomic mechanics ⋮ A criterion for mixed dynamics in two-dimensional reversible maps ⋮ Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Attractors and repellers near generic elliptic points of reversible maps
- Breakdown of symmetry in reversible systems
- On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies
- Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors
- Time-reversal symmetry in dynamical systems: a survey
- Reversible systems
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Small random perturbations of dynamical systems and the definition of attractors
- Reversibility vs. synchronization in oscillator lattices
- Transport in two-dimensional maps
- Diffeomorphisms with infinitely many sinks
- Maps close to identity and universal maps in the Newhouse domain
- Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane
- Richness of chaotic dynamics in nonholonomic models of a Celtic stone
- Compact groups of differentiable transformations
- Reversible Mixed Dynamics: A Concept and Examples
- BIFURCATION PHENOMENA IN THE 1:1 RESONANT HORN FOR THE FORCED VAN DER POL—DUFFING EQUATION
- An example of a wild strange attractor
- Deterministic Nonperiodic Flow
- Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits
- Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
